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Finding the Fourth Proportional to 390,526.56, 585,579.18 and 177,178.05

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Solution

The fourth proportional to 390,526.56, 585,579.18 and 177,178.05 is: 265,671.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,526.56 : 585,579.18 = 177,178.05 : x
  2. Step 2: Convert to fraction form
    390,526.56/585,579.18 = 177,178.05/x
  3. Step 3: Cross multiply
    390,526.56x = 585,579.18 × 177,178.05
  4. Step 4: Simplify right side
    390,526.56x = 103,751,777,233.00
  5. Step 5: Solve for x
    x = 103,751,777,233.00/390,526.56
  6. Step 6: Final answer
    x = 265,671.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.